Find the equation of the tangent line to the graph of f(x) = -2(3x – 1)³ at . Show work or explain your reasoning.

Q: Find an equation of the line L tangent to the graph of f(x) = 8x +1 at x = 1/2.

A: Calculate the y-coordinate of the point where the tangent has to be drawn. Substitute 12 for x in…

Q: Find the tangent line to the function f (x) = x² – 4x + 5 at the point (3,2).

A: To find: The tangent line to function fx=x2-4x+5 at the point 3,2. Formula used: The slope of…

Q: Find the equation of the tangent line to the graph of the function f (x) = V 4x4 +12 at the point…

A: Given: The equation of a function is, f(x)=4x4+12. The objective is to find the equation of…

Q: Find the equation of the tangent line to f(x)= x3/2 at = 4.  Sketch both function and the tangent…

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Q: Find the equation of the tangent line to the graph of f (x) = -4e2* at the point (0, -4). Hinti Sh

A: Explanation of the answer is as follows

Q: . Find the equation of the tangent to the curve f(x) = 2x + 3x – 2x + 3 at the point where x = 1.

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Q: Find the equation of the tangent line to the curve f(x)= x2 +5x when x=1.

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Q: find the equation of the tangent line to the curve when x has the given value f(x)=16/x ; x=2

A: To find the equation of tangent line to the below curve at x = 2.

Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+7)(x−2)fx=x2+7x−2 at the…

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Q: Find the equation of the tangent line to the function f(x)=2x^2−9 at the point where x=−6. Give your…

A: Calculate the derivative of the function at given point than write the equation of tangent line.

Q: Find the equation of the tangent line to the f(x) =4 + 4x at a=2

A: As we know that tangent is a straight line. And also that tangent of a curve or a line is have…

Q: Find an equation for the tangent to the curve at the given point. f (x) = 6/¤ – x +1, (36, 1) -

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Q: Find the equation of the tangent line of the function. f(x) = 2(x - 4)2 + at (2,8)

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Q: find the equation of the tangent line to the graph of f(x)=x^2(x^1/2 +1) at x=4

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Q: Compute f'(x) and find an equation of the tangent line to the graph at x = a. f (x) = 5x − 32√x, a =…

A: For a function f(x), f'(x) denotes its first derivative. Value of first derivative at a point gives…

Q: Find an equation for the line tangent to the graph of…

A: Given function is fx=-2xex To find: Th equation of tangent line at point a,fa for a=2 Solution:…

Q: Find the equation of the line that is tangent to the graph of the functio f(x) = x+1 at the point T…

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Q: Find the equation of the tangent line to f(x) = x² + x at x = 3. Sketch the function and this…

A: The slope of any curve at any point is equal to the derivative of the curve at that point. The…

Q: Find the equation of the tangent line to the graph of the function f (x) = 4xcosx + 3 at the point…

A: Given that: f(x)=4x.cosx+3 at point (0, 3)

Q: Write an equation of the tangent line to the graph of f(x) 3x at x = +1. %3D 1+2x2 For what value(s)…

A: Given that fx=3x21+2x2 Solution :fx=3x21+2x2f'x=6x1+2x2-4x3x21+2x22if…

Q: Find the equation of the tangent line to the curve at the gvien value x. f(x)= (7)/(x-2); x=3

A: Given,

Q: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = - 1- 2x Provide your…

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Q: Find the equation of the line tangent to the graph of f(x) = −2x² + x + 3 at x = 1. Provide your…

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Q: Find the equation of the tangent to the graph of f(x) =(x²+28)*/5 at x=2. %3D

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Q: Find an equation of the tangent line to the graph of the function f(x) = 2x² - 4x +5 at the point…

A: Given, f(x)=2x2-4x+5

Q: Find the equation of the tangent line to the graph of f(x) = 3x²e*-1 – 1, at ¤ = 1.

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Q: Function Point . y = x+ – 3x? + 2 (1, 0)

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Q: find an equation of the tangent line at the point indicated. f (x) = 5x2−2x , x = 1

A: At x=1 find f(1)

Q: find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=5e^x, x=0

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Q: Find the equation of the tangent line to the function f(x) = –3x² form y - 2x at the point where x…

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Q: Find the equation of the tangent line to the graph of the function f(x) = (22 +6) (z – 3) at the…

A: Fund the equation of the tangent line.

Q: b) Determine the equation of the tangent line to the grap f(x) = 2x² – x + 5 at the point where x =…

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Q: Consider the function f(x) = 1/3x3 + 3/2x2 - 4x. At which point(s) is the slope of the tangent line…

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Q: Find an equation for the line tangent to the graph of f at (1, 14), where f is given by f(x) = 30 -…

A: Please refer the attached image for complete solution.

Q: find an equation of the tangent line to the graph of f(x)= 5x^2-7 that is parallel to the line…

A: The general equation of line in slope intercept form is y=mx+c where m is slope and c is…

Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = /28x +21 at…

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Q: Find the equation of the tangent line to the function f(x)=x3+3x2+x+4 at the point where x=−2. Give…

A: we have to find tangent line at x=-2given

Q: Q4. Find the slope of the tangent line to the function f(x)= e* +3; x+2 at x=4 5x-10

A: Given : fx = ex5x-10

Q: Find the slope and equation of the tangent line to f(r) = 3+3x at a 3 using the definition. %3D

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Q: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = 3 1- 2x Provide your…

A: see below the answer and explanation

Q: Compute f '(x) and find an equation of the tangent line to the graph at x = a. f (x) = x4, a = 2

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Q: For the function f(x) = x² + 7, find the equation of the tangent line at x = -1. Answer: Submit…

A: Let's find.

Q: Find the equation of the tangent line to f(x) = (36 + 4x²)¯ at x = Use your answer to (a) to…

A: (a) Given,              f(x)=(36+4x2)-12       at  x=0.

Q: Find the equation of the tangent line to f(x)=4x+x^−1/2+1 at the point (4,35/2)

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Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+8)(x−3) at the point…

A: Given: y=fx=x2+8x-3 at 0,-24 we know that for finding equation of tangent we need to find slopem of…

Q: Find the equation of the tangent line to the graph of f (x)= 3e* +1_where x, = In 2.

A: As a first step we need to find the derivative of f(x) at the given point.

Q: Find an equation for the line tangent to the graph of: f(x)= 2xex at the point (a,f(a)) for a=2.

A: Given curve Now, we find f'(x) We know that slope of tangent line to the curve y=f(x) at point x=a…

Q: Find the equation of the line tangent to f(x)=3/(2x+1)at the point (1, f(1))

A: Given function is  fx=32x+1

Q: Find an equation for the tangent line to the graph of f(x) = x+7 at (4,23).

A: Given: f(x)=x2+7 To Find: An equation of a tangent line to the graph of the given function at…

Q: Find the slope and equation of the tangent line to f(x) =4+2x at a 3 using the definition.

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